Quantum testers for hidden group properties

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dc.creatorFriedl, Katalin
dc.creatorMagniez, Frederic
dc.creatorSantha, Miklos
dc.creatorSen, Pranab
dc.date2002-08-29
dc.date.accessioned2026-07-07T06:04:51Z
dc.date.available2026-07-07T06:04:51Z
dc.descriptionWe construct efficient or query efficient quantum property testers for two existential group properties which have exponential query complexity both for their decision problem in the quantum and for their testing problem in the classical model of computing. These are periodicity in groups and the common coset range property of two functions having identical ranges within each coset of some normal subgroup. Our periodicity tester is efficient in Abelian groups and generalizes, in several aspects, previous periodicity testers. This is achieved by introducing a technique refining the majority correction process widely used for proving robustness of algebraic properties. The periodicity tester in non-Abelian groups and the common coset range tester are query efficient.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0208184
dc.identifierhttp://arxiv.org/abs/quant-ph/0208184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90455
dc.subjectQuantum Physics
dc.titleQuantum testers for hidden group properties
dc.typetext

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